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library(astsa)
library(forecast)
package ‘forecast’ was built under R version 3.4.4
Attaching package: ‘forecast’
The following object is masked from ‘package:astsa’:
gas
X=diff(log(gnp))
plot(X)
sarima(X,1,0,0)
initial value -4.589567
iter 2 value -4.654150
iter 3 value -4.654150
iter 4 value -4.654151
iter 4 value -4.654151
iter 4 value -4.654151
final value -4.654151
converged
initial value -4.655919
iter 2 value -4.655921
iter 3 value -4.655922
iter 4 value -4.655922
iter 5 value -4.655922
iter 5 value -4.655922
iter 5 value -4.655922
final value -4.655922
converged
$fit
Call:
stats::arima(x = xdata, order = c(p, d, q), seasonal = list(order = c(P, D,
Q), period = S), xreg = xmean, include.mean = FALSE, transform.pars = trans,
fixed = fixed, optim.control = list(trace = trc, REPORT = 1, reltol = tol))
Coefficients:
ar1 xmean
0.3467 0.0083
s.e. 0.0627 0.0010
sigma^2 estimated as 9.03e-05: log likelihood = 718.61, aic = -1431.22
$degrees_of_freedom
[1] 220
$ttable
Estimate SE t.value p.value
ar1 0.3467 0.0627 5.5255 0
xmean 0.0083 0.0010 8.5398 0
$AIC
[1] -6.44694
$AICc
[1] -6.446693
$BIC
[1] -6.400958
plot(oil)
acf(oil); pacf(oil)
X=diff(log(oil))
layout(matrix(c(1,1,2,3), 2, 2, byrow = TRUE))
par(mar=c(4,4,1,1))
plot(X, ylab="oil price growth rate")
acf(X, 120, main=""); pacf(X, 120, main="")
auto.arima(X, seasonal=FALSE)
Series: X
ARIMA(1,0,1) with zero mean
Coefficients:
ar1 ma1
-0.5253 0.7142
s.e. 0.0872 0.0683
sigma^2 estimated as 0.002112: log likelihood=904.58
AIC=-1803.15 AICc=-1803.11 BIC=-1790.25
out1=sarima(X,1,0,1)
initial value -3.057594
iter 2 value -3.061420
iter 3 value -3.067360
iter 4 value -3.067479
iter 5 value -3.071834
iter 6 value -3.074359
iter 7 value -3.074843
iter 8 value -3.076656
iter 9 value -3.080467
iter 10 value -3.081546
iter 11 value -3.081603
iter 12 value -3.081615
iter 13 value -3.081642
iter 14 value -3.081643
iter 14 value -3.081643
iter 14 value -3.081643
final value -3.081643
converged
initial value -3.082345
iter 2 value -3.082345
iter 3 value -3.082346
iter 4 value -3.082346
iter 5 value -3.082346
iter 5 value -3.082346
iter 5 value -3.082346
final value -3.082346
converged
ar.yw(X, 15, aic=TRUE)
Call:
ar.yw.default(x = X, aic = TRUE, order.max = 15)
Coefficients:
1 2 3 4 5 6 7 8
0.1732 -0.1202 0.1804 -0.0687 0.0444 -0.0612 -0.0212 0.1207
Order selected 8 sigma^2 estimated as 0.002075
out2=sarima(X,8,0,0)
initial value -3.059456
iter 2 value -3.094846
iter 3 value -3.097743
iter 4 value -3.098141
iter 5 value -3.098201
iter 6 value -3.098202
iter 7 value -3.098203
iter 8 value -3.098204
iter 9 value -3.098204
iter 9 value -3.098204
iter 9 value -3.098204
final value -3.098204
converged
initial value -3.097572
iter 2 value -3.097595
iter 3 value -3.097601
iter 4 value -3.097602
iter 5 value -3.097602
iter 6 value -3.097603
iter 7 value -3.097603
iter 7 value -3.097603
iter 7 value -3.097603
final value -3.097603
converged
plot(gtemp); acf(gtemp); pacf(gtemp)
plot(diff(gtemp)); acf(diff(gtemp)); pacf(diff(gtemp))
Q.33
p_max=q_max=7; aic = matrix( 10^(1000), p_max+1, q_max+1)
aic
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] Inf Inf Inf Inf Inf Inf Inf Inf
[2,] Inf Inf Inf Inf Inf Inf Inf Inf
[3,] Inf Inf Inf Inf Inf Inf Inf Inf
[4,] Inf Inf Inf Inf Inf Inf Inf Inf
[5,] Inf Inf Inf Inf Inf Inf Inf Inf
[6,] Inf Inf Inf Inf Inf Inf Inf Inf
[7,] Inf Inf Inf Inf Inf Inf Inf Inf
[8,] Inf Inf Inf Inf Inf Inf Inf Inf
for(p in 0:p_max){ for(q in 0:q_max){
aic[p+1,q+1] = (sarima(gtemp,p,1,q))$AIC }}
initial value -2.213853
iter 1 value -2.213853
final value -2.213853
converged
initial value -2.213853
iter 1 value -2.213853
final value -2.213853
converged
initial value -2.213853
iter 2 value -2.283711
iter 3 value -2.285917
iter 4 value -2.299585
iter 5 value -2.304774
iter 6 value -2.320202
iter 7 value -2.323954
iter 8 value -2.327090
iter 9 value -2.328063
iter 10 value -2.328249
iter 11 value -2.328250
iter 12 value -2.328250
iter 13 value -2.328251
iter 14 value -2.328251
iter 14 value -2.328251
iter 14 value -2.328251
final value -2.328251
converged
initial value -2.326014
iter 2 value -2.326045
iter 3 value -2.326046
iter 4 value -2.326047
iter 5 value -2.326048
iter 5 value -2.326048
iter 5 value -2.326048
final value -2.326048
converged
initial value -2.213853
iter 2 value -2.315754
iter 3 value -2.346899
iter 4 value -2.347576
iter 5 value -2.348789
iter 6 value -2.348964
iter 7 value -2.349074
iter 8 value -2.349076
iter 8 value -2.349076
final value -2.349076
converged
initial value -2.346874
iter 2 value -2.346888
iter 3 value -2.346891
iter 4 value -2.346892
iter 5 value -2.346893
iter 5 value -2.346893
iter 5 value -2.346893
final value -2.346893
converged
initial value -2.213853
iter 2 value -2.326024
iter 3 value -2.339675
iter 4 value -2.347069
iter 5 value -2.347701
iter 6 value -2.348889
iter 7 value -2.349187
iter 8 value -2.349188
iter 8 value -2.349188
iter 8 value -2.349188
final value -2.349188
converged
initial value -2.347011
iter 2 value -2.347023
iter 3 value -2.347025
iter 4 value -2.347030
iter 5 value -2.347030
iter 5 value -2.347030
iter 5 value -2.347030
final value -2.347030
converged
initial value -2.213853
iter 2 value -2.336485
iter 3 value -2.361313
iter 4 value -2.364173
iter 5 value -2.365149
iter 6 value -2.366030
iter 7 value -2.366547
iter 8 value -2.366576
iter 9 value -2.366580
iter 10 value -2.366580
iter 10 value -2.366580
iter 10 value -2.366580
final value -2.366580
converged
initial value -2.363944
iter 2 value -2.363962
iter 3 value -2.363968
iter 4 value -2.363973
iter 5 value -2.363975
iter 6 value -2.363975
iter 6 value -2.363975
iter 6 value -2.363975
final value -2.363975
converged
initial value -2.213853
iter 2 value -2.336433
iter 3 value -2.358702
iter 4 value -2.362173
iter 5 value -2.364831
iter 6 value -2.367298
iter 7 value -2.368923
iter 8 value -2.368974
iter 9 value -2.368992
iter 10 value -2.369003
iter 11 value -2.369003
iter 12 value -2.369003
iter 12 value -2.369003
iter 12 value -2.369003
final value -2.369003
converged
initial value -2.366367
iter 2 value -2.366383
iter 3 value -2.366390
iter 4 value -2.366395
iter 5 value -2.366397
iter 6 value -2.366397
iter 6 value -2.366397
iter 6 value -2.366397
final value -2.366397
converged
initial value -2.213853
iter 2 value -2.336014
iter 3 value -2.359216
iter 4 value -2.364409
iter 5 value -2.366171
iter 6 value -2.368147
iter 7 value -2.368924
iter 8 value -2.369114
iter 9 value -2.369221
iter 10 value -2.369227
iter 11 value -2.369228
iter 11 value -2.369228
iter 11 value -2.369228
final value -2.369228
converged
initial value -2.366640
iter 2 value -2.366656
iter 3 value -2.366662
iter 4 value -2.366666
iter 5 value -2.366669
iter 6 value -2.366669
iter 7 value -2.366670
iter 7 value -2.366670
iter 7 value -2.366670
final value -2.366670
converged
initial value -2.213853
iter 2 value -2.337022
iter 3 value -2.361223
iter 4 value -2.365383
iter 5 value -2.367238
iter 6 value -2.368871
iter 7 value -2.369405
iter 8 value -2.369910
iter 9 value -2.369941
iter 10 value -2.369952
iter 11 value -2.369953
iter 12 value -2.369953
iter 12 value -2.369953
iter 12 value -2.369953
final value -2.369953
converged
initial value -2.367331
iter 2 value -2.367348
iter 3 value -2.367354
iter 4 value -2.367357
iter 5 value -2.367360
iter 6 value -2.367361
iter 6 value -2.367361
iter 6 value -2.367361
final value -2.367361
converged
initial value -2.211269
iter 2 value -2.257160
iter 3 value -2.257167
iter 4 value -2.257168
iter 4 value -2.257168
iter 4 value -2.257168
final value -2.257168
converged
initial value -2.259369
iter 2 value -2.259375
iter 3 value -2.259376
iter 3 value -2.259376
iter 3 value -2.259376
final value -2.259376
converged
initial value -2.211269
iter 2 value -2.269740
iter 3 value -2.286240
iter 4 value -2.314895
iter 5 value -2.334505
iter 6 value -2.335047
iter 7 value -2.336020
iter 8 value -2.336026
iter 9 value -2.336083
iter 10 value -2.336120
iter 11 value -2.336175
iter 12 value -2.336180
iter 12 value -2.336180
iter 12 value -2.336180
final value -2.336180
converged
initial value -2.343557
iter 2 value -2.343691
iter 3 value -2.343804
iter 4 value -2.344018
iter 5 value -2.344039
iter 6 value -2.344040
iter 6 value -2.344040
iter 6 value -2.344040
final value -2.344040
converged
initial value -2.211269
iter 2 value -2.319512
iter 3 value -2.330118
iter 4 value -2.336819
iter 5 value -2.338492
iter 6 value -2.340501
iter 7 value -2.340763
iter 8 value -2.341026
iter 9 value -2.341472
iter 10 value -2.341919
iter 11 value -2.341964
iter 12 value -2.342001
iter 13 value -2.342041
iter 14 value -2.342062
iter 15 value -2.342072
iter 16 value -2.342077
iter 17 value -2.342084
iter 18 value -2.342096
iter 19 value -2.342101
iter 20 value -2.342102
iter 21 value -2.342102
iter 22 value -2.342102
iter 22 value -2.342102
iter 22 value -2.342102
final value -2.342102
converged
initial value -2.346486
iter 2 value -2.346529
iter 3 value -2.346569
iter 4 value -2.346631
iter 5 value -2.346686
iter 6 value -2.346869
iter 7 value -2.346936
iter 8 value -2.346943
iter 9 value -2.346943
iter 9 value -2.346943
iter 9 value -2.346943
final value -2.346943
converged
initial value -2.211269
iter 2 value -2.328791
iter 3 value -2.335632
iter 4 value -2.337057
iter 5 value -2.344885
iter 6 value -2.345040
iter 7 value -2.345467
iter 8 value -2.345676
iter 9 value -2.346966
iter 10 value -2.349997
iter 11 value -2.352061
iter 12 value -2.352665
iter 13 value -2.355933
iter 14 value -2.358148
iter 15 value -2.359904
iter 16 value -2.360401
iter 17 value -2.360972
iter 18 value -2.363412
iter 19 value -2.363529
iter 20 value -2.363654
iter 21 value -2.363678
iter 22 value -2.363681
iter 22 value -2.363681
final value -2.363681
converged
initial value -2.365998
iter 2 value -2.366003
iter 3 value -2.366007
iter 4 value -2.366009
iter 5 value -2.366010
iter 5 value -2.366010
iter 5 value -2.366010
final value -2.366010
converged
initial value -2.211269
iter 2 value -2.332515
iter 3 value -2.346912
iter 4 value -2.358976
iter 5 value -2.361565
iter 6 value -2.363256
iter 7 value -2.363412
iter 8 value -2.363564
iter 9 value -2.363714
iter 10 value -2.364350
iter 11 value -2.364981
iter 12 value -2.365432
iter 13 value -2.365861
iter 14 value -2.365862
iter 15 value -2.365867
iter 16 value -2.365875
iter 17 value -2.365894
iter 18 value -2.365920
iter 19 value -2.365997
iter 20 value -2.366169
iter 21 value -2.366245
iter 22 value -2.366440
iter 23 value -2.366477
iter 24 value -2.366479
iter 25 value -2.366480
iter 26 value -2.366480
iter 26 value -2.366480
final value -2.366480
converged
initial value -2.368902
iter 2 value -2.368911
iter 3 value -2.368919
iter 4 value -2.368925
iter 5 value -2.368934
iter 6 value -2.368938
iter 7 value -2.368960
iter 8 value -2.368984
iter 9 value -2.369003
iter 10 value -2.369007
iter 11 value -2.369008
iter 11 value -2.369008
iter 11 value -2.369008
final value -2.369008
converged
initial value -2.211269
iter 2 value -2.336857
iter 3 value -2.346698
iter 4 value -2.359986
iter 5 value -2.361993
iter 6 value -2.363017
iter 7 value -2.363755
iter 8 value -2.363840
iter 9 value -2.363870
iter 10 value -2.364024
iter 11 value -2.364290
iter 12 value -2.364960
iter 13 value -2.365798
iter 14 value -2.366057
iter 15 value -2.366246
iter 16 value -2.366355
iter 17 value -2.366480
iter 18 value -2.366527
iter 19 value -2.366613
iter 20 value -2.366937
iter 21 value -2.367325
iter 22 value -2.367544
iter 23 value -2.367852
iter 24 value -2.368183
iter 25 value -2.369875
iter 26 value -2.370111
iter 27 value -2.371047
iter 28 value -2.371159
iter 29 value -2.371309
iter 30 value -2.371516
iter 31 value -2.371554
iter 32 value -2.371567
iter 33 value -2.371630
iter 34 value -2.371632
iter 35 value -2.371632
iter 35 value -2.371632
iter 35 value -2.371632
final value -2.371632
converged
initial value -2.373369
iter 2 value -2.373373
iter 3 value -2.373387
iter 4 value -2.373396
iter 5 value -2.373408
iter 6 value -2.373413
iter 7 value -2.373429
iter 8 value -2.373443
iter 9 value -2.373482
iter 10 value -2.373516
iter 11 value -2.373538
iter 12 value -2.373540
iter 13 value -2.373540
iter 13 value -2.373540
iter 13 value -2.373540
final value -2.373540
converged
initial value -2.211269
iter 2 value -2.337110
iter 3 value -2.347022
iter 4 value -2.359594
iter 5 value -2.361985
iter 6 value -2.362354
iter 7 value -2.363676
iter 8 value -2.363826
iter 9 value -2.363859
iter 10 value -2.363897
iter 11 value -2.364023
iter 12 value -2.364387
iter 13 value -2.365359
iter 14 value -2.365773
iter 15 value -2.365879
iter 16 value -2.366098
iter 17 value -2.366655
iter 18 value -2.366813
iter 19 value -2.366929
iter 20 value -2.367066
iter 21 value -2.367132
iter 22 value -2.367766
iter 23 value -2.368799
iter 24 value -2.369855
iter 25 value -2.370251
iter 26 value -2.370920
iter 27 value -2.371602
iter 28 value -2.371777
iter 29 value -2.371825
iter 30 value -2.371830
iter 31 value -2.371831
iter 31 value -2.371831
final value -2.371831
converged
initial value -2.373567
iter 2 value -2.373575
iter 3 value -2.373591
iter 4 value -2.373601
iter 5 value -2.373613
iter 6 value -2.373621
iter 7 value -2.373641
iter 8 value -2.373668
iter 9 value -2.373717
iter 10 value -2.373777
iter 11 value -2.373816
iter 12 value -2.373824
iter 13 value -2.373826
iter 14 value -2.373826
iter 15 value -2.373826
iter 15 value -2.373826
iter 15 value -2.373826
final value -2.373826
converged
initial value -2.211269
iter 2 value -2.338461
iter 3 value -2.348519
iter 4 value -2.360456
iter 5 value -2.362876
iter 6 value -2.363635
iter 7 value -2.364135
iter 8 value -2.364271
iter 9 value -2.364292
iter 10 value -2.364308
iter 11 value -2.364375
iter 12 value -2.364531
iter 13 value -2.364873
iter 14 value -2.370151
iter 15 value -2.370392
iter 16 value -2.370848
iter 17 value -2.371021
iter 18 value -2.371736
iter 19 value -2.371927
iter 20 value -2.372016
iter 21 value -2.372105
iter 22 value -2.372143
iter 23 value -2.372150
iter 24 value -2.372152
iter 24 value -2.372152
iter 24 value -2.372152
final value -2.372152
converged
initial value -2.373759
iter 2 value -2.373764
iter 3 value -2.373777
iter 4 value -2.373785
iter 5 value -2.373802
iter 6 value -2.373814
iter 7 value -2.373826
iter 8 value -2.373833
iter 9 value -2.373849
iter 10 value -2.373871
iter 11 value -2.373905
iter 12 value -2.373938
iter 13 value -2.373956
iter 14 value -2.373960
iter 15 value -2.373962
iter 16 value -2.373962
iter 16 value -2.373962
iter 16 value -2.373962
final value -2.373962
converged
initial value -2.208390
iter 2 value -2.285072
iter 3 value -2.292165
iter 4 value -2.293106
iter 5 value -2.293131
iter 6 value -2.293145
iter 7 value -2.293145
iter 7 value -2.293145
iter 7 value -2.293145
final value -2.293145
converged
initial value -2.298164
iter 2 value -2.298170
iter 3 value -2.298170
iter 4 value -2.298170
iter 4 value -2.298170
iter 4 value -2.298170
final value -2.298170
converged
initial value -2.208390
iter 2 value -2.299355
iter 3 value -2.318238
iter 4 value -2.321848
iter 5 value -2.334754
iter 6 value -2.340159
iter 7 value -2.343356
iter 8 value -2.347022
iter 9 value -2.347677
iter 10 value -2.348030
iter 11 value -2.348038
iter 12 value -2.348041
iter 13 value -2.348046
iter 14 value -2.348050
iter 14 value -2.348050
iter 14 value -2.348050
final value -2.348050
converged
initial value -2.350024
iter 2 value -2.350046
iter 3 value -2.350063
iter 4 value -2.350078
iter 5 value -2.350083
iter 6 value -2.350085
iter 6 value -2.350085
iter 6 value -2.350085
final value -2.350085
converged
initial value -2.208390
iter 2 value -2.326583
iter 3 value -2.332136
iter 4 value -2.334357
iter 5 value -2.336577
iter 6 value -2.341490
iter 7 value -2.341948
iter 8 value -2.342190
iter 9 value -2.342445
iter 10 value -2.343536
iter 11 value -2.345244
iter 12 value -2.346658
iter 13 value -2.348139
iter 14 value -2.348560
iter 15 value -2.348922
iter 16 value -2.349161
iter 17 value -2.349254
iter 18 value -2.349376
iter 19 value -2.349661
iter 20 value -2.350269
iter 21 value -2.351235
iter 22 value -2.351439
iter 23 value -2.351508
iter 24 value -2.351512
iter 25 value -2.351523
iter 26 value -2.351524
iter 27 value -2.351524
iter 28 value -2.351525
iter 29 value -2.351525
iter 30 value -2.351525
iter 31 value -2.351526
iter 32 value -2.351527
iter 33 value -2.351527
iter 34 value -2.351527
iter 34 value -2.351527
final value -2.351527
converged
initial value -2.351237
iter 2 value -2.351316
iter 3 value -2.351423
iter 4 value -2.351435
iter 5 value -2.351446
iter 6 value -2.351451
iter 7 value -2.351453
iter 8 value -2.351457
iter 9 value -2.351461
iter 10 value -2.351472
iter 11 value -2.351488
iter 12 value -2.351511
iter 13 value -2.351512
iter 14 value -2.351517
iter 15 value -2.351520
iter 16 value -2.351523
iter 17 value -2.351524
iter 18 value -2.351524
iter 19 value -2.351525
iter 20 value -2.351526
iter 21 value -2.351527
iter 22 value -2.351529
iter 23 value -2.351529
iter 23 value -2.351529
final value -2.351529
converged
initial value -2.208390
iter 2 value -2.343075
iter 3 value -2.347906
iter 4 value -2.348386
iter 5 value -2.349240
iter 6 value -2.350358
iter 7 value -2.351032
iter 8 value -2.352496
iter 9 value -2.355590
iter 10 value -2.358731
iter 11 value -2.360776
iter 12 value -2.362231
iter 13 value -2.362819
iter 14 value -2.363139
iter 15 value -2.363203
iter 16 value -2.363235
iter 17 value -2.363275
iter 18 value -2.363303
iter 19 value -2.363326
iter 20 value -2.363341
iter 21 value -2.363355
iter 22 value -2.363361
iter 23 value -2.363369
iter 24 value -2.363378
iter 25 value -2.363382
iter 26 value -2.363383
iter 26 value -2.363383
iter 26 value -2.363383
final value -2.363383
converged
initial value -2.371896
iter 2 value -2.372019
iter 3 value -2.372139
iter 4 value -2.372446
iter 5 value -2.372619
iter 6 value -2.372942
iter 7 value -2.372998
iter 8 value -2.373003
iter 9 value -2.373004
iter 10 value -2.373004
iter 11 value -2.373004
iter 12 value -2.373004
iter 12 value -2.373004
iter 12 value -2.373004
final value -2.373004
converged
initial value -2.208390
iter 2 value -2.341161
iter 3 value -2.351921
iter 4 value -2.358232
iter 5 value -2.360938
iter 6 value -2.362005
iter 7 value -2.362885
iter 8 value -2.362935
iter 9 value -2.363046
iter 10 value -2.363554
iter 11 value -2.363664
iter 12 value -2.363694
iter 13 value -2.363694
iter 14 value -2.363695
iter 15 value -2.363695
iter 16 value -2.363696
iter 17 value -2.363697
iter 18 value -2.363697
iter 19 value -2.363697
iter 20 value -2.363697
iter 21 value -2.363698
iter 22 value -2.363699
iter 23 value -2.363703
iter 24 value -2.363710
iter 25 value -2.363717
iter 26 value -2.363720
iter 27 value -2.363721
iter 28 value -2.363721
iter 29 value -2.363721
iter 30 value -2.363721
iter 31 value -2.363722
iter 32 value -2.363722
iter 33 value -2.363722
iter 33 value -2.363722
iter 33 value -2.363722
final value -2.363722
converged
initial value -2.366494
iter 2 value -2.366525
iter 3 value -2.366567
iter 4 value -2.366574
iter 5 value -2.366600
iter 6 value -2.366613
iter 7 value -2.366638
iter 8 value -2.366863
iter 9 value -2.367047
iter 10 value -2.367195
iter 11 value -2.367485
iter 12 value -2.368327
iter 13 value -2.370191
iter 14 value -2.370637
iter 15 value -2.370651
iter 16 value -2.370688
iter 17 value -2.370693
iter 18 value -2.370697
iter 19 value -2.370700
iter 20 value -2.370704
iter 21 value -2.370705
iter 22 value -2.370708
iter 23 value -2.370717
iter 24 value -2.370719
iter 25 value -2.370720
iter 25 value -2.370720
iter 25 value -2.370720
final value -2.370720
converged
initial value -2.208390
iter 2 value -2.346335
iter 3 value -2.352657
iter 4 value -2.357542
iter 5 value -2.361408
iter 6 value -2.363374
iter 7 value -2.363703
iter 8 value -2.363745
iter 9 value -2.363757
iter 10 value -2.363768
iter 11 value -2.363847
iter 12 value -2.363951
iter 13 value -2.364077
iter 14 value -2.364169
iter 15 value -2.364209
iter 16 value -2.364225
iter 17 value -2.364260
iter 18 value -2.364344
iter 19 value -2.364354
iter 20 value -2.364355
iter 21 value -2.364375
iter 22 value -2.364379
iter 23 value -2.364389
iter 24 value -2.364467
iter 25 value -2.364709
iter 26 value -2.365102
iter 27 value -2.365838
iter 28 value -2.366895
iter 29 value -2.367174
iter 30 value -2.367227
iter 31 value -2.367502
iter 32 value -2.367561
iter 33 value -2.367623
iter 34 value -2.368053
iter 35 value -2.368503
iter 36 value -2.370300
iter 37 value -2.370320
iter 38 value -2.371166
iter 39 value -2.373574
iter 40 value -2.377391
iter 41 value -2.378857
iter 42 value -2.381465
iter 43 value -2.382684
iter 44 value -2.383576
iter 45 value -2.386984
iter 46 value -2.388552
iter 47 value -2.392878
iter 48 value -2.396077
iter 49 value -2.398191
iter 50 value -2.409204
iter 51 value -2.409720
iter 52 value -2.410899
iter 53 value -2.411013
iter 54 value -2.411149
iter 55 value -2.412477
iter 56 value -2.413107
iter 57 value -2.413936
iter 57 value -2.413936
iter 58 value -2.414012
iter 58 value -2.414012
iter 59 value -2.414030
iter 59 value -2.414030
iter 60 value -2.414030
iter 60 value -2.414030
iter 60 value -2.414030
final value -2.414030
converged
initial value -2.362138
iter 2 value -2.364390
iter 3 value -2.365266
iter 4 value -2.366931
iter 5 value -2.368238
iter 6 value -2.368480
iter 7 value -2.368650
iter 8 value -2.368793
iter 9 value -2.368948
iter 10 value -2.369160
iter 11 value -2.369379
iter 12 value -2.369489
iter 13 value -2.369508
iter 14 value -2.369511
iter 15 value -2.369513
iter 16 value -2.369514
iter 17 value -2.369517
iter 18 value -2.369526
iter 19 value -2.369528
iter 20 value -2.369532
iter 21 value -2.369534
iter 22 value -2.369535
iter 23 value -2.369537
iter 24 value -2.369539
iter 25 value -2.369550
iter 26 value -2.369585
iter 27 value -2.369652
iter 28 value -2.369709
iter 29 value -2.369717
iter 30 value -2.369727
iter 31 value -2.369733
iter 32 value -2.369755
iter 33 value -2.369789
iter 34 value -2.369899
iter 35 value -2.370128
iter 36 value -2.370169
iter 37 value -2.370274
iter 38 value -2.370667
iter 39 value -2.370895
iter 40 value -2.371156
iter 41 value -2.371213
iter 42 value -2.371228
iter 43 value -2.371245
iter 44 value -2.371257
iter 45 value -2.371283
iter 46 value -2.371322
iter 47 value -2.371380
iter 48 value -2.371437
iter 49 value -2.371473
iter 50 value -2.371478
iter 51 value -2.371481
iter 52 value -2.371489
iter 53 value -2.371489
iter 54 value -2.371490
iter 55 value -2.371492
iter 56 value -2.371497
iter 57 value -2.371500
iter 58 value -2.371506
iter 59 value -2.371517
iter 60 value -2.371528
iter 61 value -2.371534
iter 62 value -2.371535
iter 63 value -2.371535
iter 64 value -2.371536
iter 65 value -2.371537
iter 66 value -2.371540
iter 67 value -2.371543
iter 68 value -2.371545
iter 69 value -2.371545
iter 69 value -2.371545
final value -2.371545
converged
initial value -2.208390
iter 2 value -2.346792
iter 3 value -2.353167
iter 4 value -2.354543
iter 5 value -2.358587
iter 6 value -2.361838
iter 7 value -2.363804
iter 8 value -2.364050
iter 9 value -2.364096
iter 10 value -2.364104
iter 11 value -2.364111
iter 12 value -2.364170
iter 13 value -2.364349
iter 14 value -2.364553
iter 15 value -2.364912
iter 16 value -2.365409
iter 17 value -2.366432
iter 18 value -2.366771
iter 19 value -2.366773
iter 20 value -2.367327
iter 21 value -2.367462
iter 22 value -2.367612
iter 23 value -2.367832
iter 24 value -2.368046
iter 25 value -2.368080
iter 26 value -2.368132
iter 27 value -2.368160
iter 28 value -2.368230
iter 29 value -2.368294
iter 30 value -2.368359
iter 31 value -2.368404
iter 32 value -2.368437
iter 33 value -2.368439
iter 34 value -2.368440
iter 35 value -2.368441
iter 36 value -2.368444
iter 37 value -2.368448
iter 38 value -2.368456
iter 39 value -2.368463
iter 40 value -2.368464
iter 41 value -2.368464
iter 42 value -2.368465
iter 43 value -2.368466
iter 44 value -2.368466
iter 45 value -2.368467
iter 45 value -2.368467
iter 45 value -2.368467
final value -2.368467
converged
initial value -2.366448
iter 2 value -2.366629
iter 3 value -2.366680
iter 4 value -2.366765
iter 5 value -2.366814
iter 6 value -2.366852
iter 7 value -2.366859
iter 8 value -2.366862
iter 9 value -2.366865
iter 10 value -2.366875
iter 11 value -2.366905
iter 12 value -2.366930
iter 13 value -2.366976
iter 14 value -2.367027
iter 15 value -2.367217
iter 16 value -2.367722
iter 17 value -2.367768
iter 18 value -2.367835
iter 19 value -2.367978
iter 20 value -2.368047
iter 21 value -2.368051
iter 22 value -2.368054
iter 23 value -2.368056
iter 24 value -2.368057
iter 25 value -2.368058
iter 26 value -2.368064
iter 27 value -2.368068
iter 28 value -2.368079
iter 29 value -2.368090
iter 30 value -2.368106
iter 31 value -2.368122
iter 32 value -2.368128
iter 33 value -2.368131
iter 34 value -2.368132
iter 35 value -2.368134
iter 36 value -2.368137
iter 37 value -2.368146
iter 38 value -2.368179
iter 39 value -2.368188
iter 40 value -2.368360
iter 41 value -2.368429
iter 42 value -2.368563
iter 43 value -2.368609
iter 44 value -2.368643
iter 45 value -2.368664
iter 46 value -2.368686
iter 47 value -2.368758
iter 48 value -2.370614
iter 49 value -2.370696
iter 50 value -2.371479
iter 51 value -2.373541
iter 52 value -2.375832
iter 53 value -2.377687
iter 54 value -2.378099
iter 55 value -2.378514
iter 56 value -2.379130
iter 57 value -2.381660
iter 58 value -2.381729
iter 59 value -2.386190
iter 60 value -2.386604
iter 61 value -2.388347
iter 62 value -2.388820
iter 63 value -2.389580
iter 64 value -2.389696
iter 65 value -2.389893
iter 66 value -2.389939
iter 67 value -2.389956
iter 68 value -2.389964
iter 69 value -2.389971
iter 70 value -2.389978
iter 71 value -2.389984
iter 72 value -2.389987
iter 73 value -2.389990
iter 74 value -2.389991
iter 75 value -2.389991
iter 75 value -2.389991
iter 75 value -2.389991
final value -2.389991
converged
initial value -2.208390
iter 2 value -2.348265
iter 3 value -2.350551
iter 4 value -2.357509
iter 5 value -2.360503
iter 6 value -2.361356
iter 7 value -2.364515
iter 8 value -2.364649
iter 9 value -2.364688
iter 10 value -2.364703
iter 11 value -2.364723
iter 12 value -2.364779
iter 13 value -2.364923
iter 14 value -2.365187
iter 15 value -2.365856
iter 16 value -2.366707
iter 17 value -2.366873
iter 18 value -2.367358
iter 19 value -2.368050
iter 20 value -2.368261
iter 21 value -2.368318
iter 22 value -2.368434
iter 23 value -2.368436
iter 24 value -2.368436
iter 25 value -2.368445
iter 26 value -2.368456
iter 27 value -2.368457
iter 28 value -2.368460
iter 29 value -2.368461
iter 30 value -2.368463
iter 31 value -2.368463
iter 32 value -2.368464
iter 33 value -2.368465
iter 34 value -2.368465
iter 35 value -2.368465
iter 36 value -2.368465
iter 37 value -2.368465
iter 38 value -2.368465
iter 39 value -2.368466
iter 40 value -2.368466
iter 41 value -2.368467
iter 42 value -2.368468
iter 43 value -2.368468
iter 43 value -2.368468
final value -2.368468
converged
initial value -2.366470
iter 2 value -2.366533
iter 3 value -2.366572
iter 4 value -2.366622
iter 5 value -2.366710
iter 6 value -2.366821
iter 7 value -2.366879
iter 8 value -2.366882
iter 9 value -2.366887
iter 10 value -2.366894
iter 11 value -2.366906
iter 12 value -2.366953
iter 13 value -2.367012
iter 14 value -2.367047
iter 15 value -2.367125
iter 16 value -2.367386
iter 17 value -2.367950
iter 18 value -2.368025
iter 19 value -2.368056
iter 20 value -2.368080
iter 21 value -2.368089
iter 22 value -2.368096
iter 23 value -2.368098
iter 24 value -2.368098
iter 25 value -2.368100
iter 26 value -2.368100
iter 27 value -2.368101
iter 28 value -2.368101
iter 29 value -2.368101
iter 30 value -2.368102
iter 31 value -2.368103
iter 32 value -2.368106
iter 33 value -2.368112
iter 34 value -2.368137
iter 35 value -2.368158
iter 36 value -2.368167
iter 37 value -2.368191
iter 38 value -2.368237
iter 39 value -2.368286
iter 40 value -2.368529
iter 41 value -2.369395
iter 42 value -2.369736
iter 43 value -2.369931
iter 44 value -2.370030
iter 45 value -2.370090
iter 46 value -2.370163
iter 47 value -2.370298
iter 48 value -2.370543
iter 49 value -2.371686
iter 50 value -2.372503
iter 51 value -2.373020
iter 52 value -2.374298
iter 53 value -2.376755
iter 54 value -2.377562
iter 55 value -2.380797
iter 56 value -2.381347
iter 57 value -2.383089
iter 58 value -2.383946
iter 59 value -2.385161
iter 60 value -2.386070
iter 61 value -2.387782
iter 62 value -2.388882
iter 63 value -2.390052
iter 64 value -2.391221
iter 65 value -2.391873
iter 66 value -2.392133
iter 67 value -2.392423
iter 68 value -2.392750
iter 69 value -2.392773
iter 70 value -2.393165
iter 71 value -2.393238
iter 72 value -2.393340
iter 73 value -2.393808
iter 74 value -2.393932
iter 75 value -2.394094
iter 76 value -2.394158
iter 77 value -2.394243
iter 78 value -2.394292
iter 79 value -2.394465
iter 80 value -2.394720
iter 81 value -2.394852
iter 82 value -2.395047
iter 83 value -2.395371
iter 84 value -2.396133
iter 85 value -2.396355
iter 86 value -2.396518
iter 87 value -2.396619
iter 88 value -2.396626
iter 89 value -2.396627
iter 90 value -2.396627
iter 90 value -2.396627
iter 90 value -2.396627
final value -2.396627
converged
initial value -2.204527
iter 2 value -2.305202
iter 3 value -2.330608
iter 4 value -2.340780
iter 5 value -2.342247
iter 6 value -2.342618
iter 7 value -2.342622
iter 8 value -2.342622
iter 8 value -2.342622
iter 8 value -2.342622
final value -2.342622
converged
initial value -2.350196
iter 2 value -2.350213
iter 3 value -2.350218
iter 4 value -2.350218
iter 5 value -2.350220
iter 6 value -2.350220
iter 6 value -2.350220
iter 6 value -2.350220
final value -2.350220
converged
initial value -2.204527
iter 2 value -2.320466
iter 3 value -2.340026
iter 4 value -2.342073
iter 5 value -2.343602
iter 6 value -2.344256
iter 7 value -2.344340
iter 8 value -2.344683
iter 9 value -2.345686
iter 10 value -2.346309
iter 11 value -2.347424
iter 12 value -2.347474
iter 13 value -2.347475
iter 14 value -2.347475
iter 15 value -2.347476
iter 16 value -2.347476
iter 16 value -2.347476
iter 16 value -2.347476
final value -2.347476
converged
initial value -2.353882
iter 2 value -2.353904
iter 3 value -2.353915
iter 4 value -2.353922
iter 5 value -2.353925
iter 6 value -2.353934
iter 7 value -2.353935
iter 8 value -2.353935
iter 8 value -2.353935
iter 8 value -2.353935
final value -2.353935
converged
initial value -2.204527
iter 2 value -2.344219
iter 3 value -2.351485
iter 4 value -2.352337
iter 5 value -2.353102
iter 6 value -2.353852
iter 7 value -2.354414
iter 8 value -2.356923
iter 9 value -2.358764
iter 10 value -2.361114
iter 11 value -2.361887
iter 12 value -2.362688
iter 13 value -2.363217
iter 14 value -2.364296
iter 15 value -2.364345
iter 16 value -2.365060
iter 17 value -2.365432
iter 18 value -2.366112
iter 19 value -2.366364
iter 20 value -2.366399
iter 21 value -2.366422
iter 22 value -2.366433
iter 23 value -2.366436
iter 24 value -2.366437
iter 24 value -2.366437
iter 24 value -2.366437
final value -2.366437
converged
initial value -2.371682
iter 2 value -2.371709
iter 3 value -2.371738
iter 4 value -2.371754
iter 5 value -2.371764
iter 6 value -2.371769
iter 7 value -2.371774
iter 8 value -2.371779
iter 9 value -2.371781
iter 10 value -2.371792
iter 11 value -2.371801
iter 12 value -2.371807
iter 13 value -2.371808
iter 14 value -2.371808
iter 14 value -2.371808
final value -2.371808
converged
initial value -2.204527
iter 2 value -2.347539
iter 3 value -2.349760
iter 4 value -2.351034
iter 5 value -2.352886
iter 6 value -2.353689
iter 7 value -2.354132
iter 8 value -2.354680
iter 9 value -2.357442
iter 10 value -2.358660
iter 11 value -2.360846
iter 12 value -2.361830
iter 13 value -2.363278
iter 14 value -2.363794
iter 15 value -2.364971
iter 16 value -2.365887
iter 17 value -2.365946
iter 18 value -2.366053
iter 19 value -2.366112
iter 20 value -2.366279
iter 21 value -2.366396
iter 22 value -2.366466
iter 23 value -2.366476
iter 24 value -2.366486
iter 25 value -2.366491
iter 26 value -2.366499
iter 27 value -2.366511
iter 28 value -2.366530
iter 29 value -2.366544
iter 30 value -2.366548
iter 31 value -2.366548
iter 31 value -2.366548
final value -2.366548
converged
initial value -2.372124
iter 2 value -2.372161
iter 3 value -2.372177
iter 4 value -2.372183
iter 5 value -2.372206
iter 6 value -2.372248
iter 7 value -2.372309
iter 8 value -2.372362
iter 9 value -2.372390
iter 10 value -2.372394
iter 11 value -2.372395
iter 12 value -2.372396
iter 13 value -2.372397
iter 14 value -2.372397
iter 15 value -2.372398
iter 16 value -2.372400
iter 17 value -2.372401
iter 18 value -2.372401
iter 19 value -2.372402
iter 20 value -2.372402
iter 21 value -2.372402
iter 22 value -2.372402
iter 23 value -2.372402
iter 24 value -2.372403
iter 25 value -2.372403
iter 26 value -2.372403
iter 27 value -2.372403
iter 27 value -2.372403
iter 27 value -2.372403
final value -2.372403
converged
initial value -2.204527
iter 2 value -2.340086
iter 3 value -2.350272
iter 4 value -2.354145
iter 5 value -2.357161
iter 6 value -2.358340
iter 7 value -2.359109
iter 8 value -2.359442
iter 9 value -2.360083
iter 10 value -2.360514
iter 11 value -2.360688
iter 12 value -2.360751
iter 13 value -2.360885
iter 14 value -2.361237
iter 15 value -2.364013
iter 16 value -2.364151
iter 17 value -2.365592
iter 18 value -2.367271
iter 19 value -2.367410
iter 20 value -2.367486
iter 21 value -2.367561
iter 22 value -2.367602
iter 23 value -2.367624
iter 24 value -2.367662
iter 25 value -2.367719
iter 26 value -2.367849
iter 27 value -2.367931
iter 28 value -2.367966
iter 29 value -2.367974
iter 30 value -2.367974
iter 31 value -2.367975
iter 32 value -2.367976
iter 33 value -2.367976
iter 34 value -2.367977
iter 35 value -2.367978
iter 36 value -2.367978
iter 37 value -2.367979
iter 38 value -2.367979
iter 39 value -2.367979
iter 40 value -2.367979
iter 41 value -2.367980
iter 42 value -2.367980
iter 43 value -2.367980
iter 44 value -2.367981
iter 45 value -2.367981
iter 46 value -2.367982
iter 47 value -2.367982
iter 48 value -2.367982
iter 49 value -2.367982
iter 50 value -2.367982
iter 51 value -2.367982
iter 52 value -2.367982
iter 52 value -2.367982
final value -2.367982
converged
initial value -2.370233
iter 2 value -2.370374
iter 3 value -2.370429
iter 4 value -2.370465
iter 5 value -2.370483
iter 6 value -2.370532
iter 7 value -2.370566
iter 8 value -2.370720
iter 9 value -2.370967
iter 10 value -2.371137
iter 11 value -2.371283
iter 12 value -2.371297
iter 13 value -2.371308
iter 14 value -2.371336
iter 15 value -2.371381
iter 16 value -2.371421
iter 17 value -2.371439
iter 18 value -2.371454
iter 19 value -2.371462
iter 20 value -2.371472
iter 21 value -2.371508
iter 22 value -2.371544
iter 23 value -2.371567
iter 24 value -2.371572
iter 25 value -2.371577
iter 26 value -2.371583
iter 27 value -2.371618
iter 28 value -2.371654
iter 29 value -2.371689
iter 30 value -2.371708
iter 31 value -2.371712
iter 32 value -2.371719
iter 33 value -2.371743
iter 34 value -2.371814
iter 35 value -2.371835
iter 36 value -2.372226
iter 37 value -2.372371
iter 38 value -2.372453
iter 39 value -2.372522
iter 40 value -2.372823
iter 41 value -2.373272
iter 42 value -2.374421
iter 43 value -2.374935
iter 44 value -2.375810
iter 45 value -2.376842
iter 46 value -2.377600
iter 47 value -2.379255
iter 48 value -2.379867
iter 49 value -2.380169
iter 50 value -2.380523
iter 51 value -2.381145
iter 52 value -2.381496
iter 53 value -2.381531
iter 54 value -2.381576
iter 55 value -2.381614
iter 56 value -2.381642
iter 57 value -2.381695
iter 58 value -2.381803
iter 59 value -2.381938
iter 60 value -2.382102
iter 61 value -2.382192
iter 62 value -2.382230
iter 63 value -2.382301
iter 64 value -2.382382
iter 65 value -2.382425
iter 66 value -2.382459
iter 67 value -2.382476
iter 68 value -2.382493
iter 69 value -2.382499
iter 70 value -2.382500
iter 71 value -2.382503
iter 72 value -2.382505
iter 73 value -2.382506
iter 74 value -2.382506
iter 75 value -2.382507
iter 76 value -2.382507
iter 77 value -2.382508
iter 78 value -2.382508
iter 79 value -2.382508
iter 80 value -2.382508
iter 81 value -2.382509
iter 82 value -2.382509
iter 83 value -2.382510
iter 84 value -2.382510
iter 85 value -2.382510
iter 86 value -2.382510
iter 86 value -2.382510
final value -2.382510
converged
initial value -2.204527
iter 2 value -2.345953
iter 3 value -2.356935
iter 4 value -2.357660
iter 5 value -2.359106
iter 6 value -2.359890
iter 7 value -2.360401
iter 8 value -2.360442
iter 9 value -2.360488
iter 10 value -2.361024
iter 11 value -2.362619
iter 12 value -2.363326
iter 13 value -2.363664
iter 14 value -2.364006
iter 15 value -2.364358
iter 16 value -2.364642
iter 17 value -2.364889
iter 18 value -2.365644
iter 19 value -2.365946
iter 20 value -2.366719
iter 21 value -2.367010
iter 22 value -2.367447
iter 23 value -2.367519
iter 24 value -2.367528
iter 25 value -2.367564
iter 26 value -2.367603
iter 27 value -2.367635
iter 28 value -2.367708
iter 29 value -2.367739
iter 30 value -2.367749
iter 31 value -2.367761
iter 32 value -2.367768
iter 33 value -2.367956
iter 34 value -2.367982
iter 35 value -2.367996
iter 36 value -2.368002
iter 37 value -2.368010
iter 38 value -2.368020
iter 39 value -2.368050
iter 40 value -2.368053
iter 41 value -2.368061
iter 42 value -2.368074
iter 43 value -2.368093
iter 44 value -2.368098
iter 45 value -2.368108
iter 46 value -2.368116
iter 47 value -2.368136
iter 48 value -2.368155
iter 49 value -2.368184
iter 50 value -2.368212
iter 51 value -2.368265
iter 52 value -2.368286
iter 53 value -2.368289
iter 54 value -2.368295
iter 55 value -2.368318
iter 56 value -2.368359
iter 57 value -2.368429
iter 58 value -2.368475
iter 59 value -2.368478
iter 60 value -2.368490
iter 61 value -2.368492
iter 62 value -2.368494
iter 63 value -2.368498
iter 64 value -2.368500
iter 65 value -2.368509
iter 66 value -2.368520
iter 67 value -2.368521
iter 68 value -2.368521
iter 68 value -2.368521
iter 68 value -2.368521
final value -2.368521
converged
initial value -2.370506
iter 2 value -2.370632
iter 3 value -2.370713
iter 4 value -2.370753
iter 5 value -2.370783
iter 6 value -2.370820
iter 7 value -2.370833
iter 8 value -2.370861
iter 9 value -2.370930
iter 10 value -2.371008
iter 11 value -2.371054
iter 12 value -2.371068
iter 13 value -2.371069
iter 14 value -2.371069
iter 15 value -2.371072
iter 16 value -2.371076
iter 17 value -2.371081
iter 18 value -2.371084
iter 19 value -2.371084
iter 20 value -2.371085
iter 20 value -2.371085
final value -2.371085
converged
initial value -2.204527
iter 2 value -2.346054
iter 3 value -2.357018
iter 4 value -2.358475
iter 5 value -2.359911
iter 6 value -2.360558
iter 7 value -2.360834
iter 8 value -2.360852
iter 9 value -2.360863
iter 10 value -2.360928
iter 11 value -2.361097
iter 12 value -2.361305
iter 13 value -2.362083
iter 14 value -2.364239
iter 15 value -2.364410
iter 16 value -2.364809
iter 17 value -2.364979
iter 18 value -2.365124
iter 19 value -2.365317
iter 20 value -2.365492
iter 21 value -2.365956
iter 22 value -2.367966
iter 23 value -2.368333
iter 24 value -2.368425
iter 25 value -2.369291
iter 26 value -2.369997
iter 27 value -2.370003
iter 28 value -2.370239
iter 29 value -2.370311
iter 30 value -2.370500
iter 31 value -2.370738
iter 32 value -2.370883
iter 33 value -2.370961
iter 34 value -2.370982
iter 35 value -2.371007
iter 36 value -2.371009
iter 37 value -2.371016
iter 38 value -2.371024
iter 39 value -2.371036
iter 40 value -2.371045
iter 41 value -2.371071
iter 42 value -2.371117
iter 43 value -2.371251
iter 44 value -2.371426
iter 45 value -2.371595
iter 46 value -2.371649
iter 47 value -2.371664
iter 48 value -2.371671
iter 49 value -2.371688
iter 50 value -2.371709
iter 51 value -2.371729
iter 52 value -2.371737
iter 53 value -2.371739
iter 54 value -2.371739
iter 54 value -2.371739
iter 54 value -2.371739
final value -2.371739
converged
initial value -2.373222
iter 2 value -2.373277
iter 3 value -2.373369
iter 4 value -2.373474
iter 5 value -2.373497
iter 6 value -2.373558
iter 7 value -2.373617
iter 8 value -2.373654
iter 9 value -2.373659
iter 10 value -2.373687
iter 11 value -2.373711
iter 12 value -2.373736
iter 13 value -2.373747
iter 14 value -2.373749
iter 15 value -2.373749
iter 15 value -2.373749
iter 15 value -2.373749
final value -2.373749
converged
initial value -2.204527
iter 2 value -2.347367
iter 3 value -2.358944
iter 4 value -2.360313
iter 5 value -2.361262
iter 6 value -2.361673
iter 7 value -2.361882
iter 8 value -2.361911
iter 9 value -2.361946
iter 10 value -2.362161
iter 11 value -2.362828
iter 12 value -2.365408
iter 13 value -2.366492
iter 14 value -2.366800
iter 15 value -2.367185
iter 16 value -2.367717
iter 17 value -2.368272
iter 18 value -2.369004
iter 19 value -2.369350
iter 20 value -2.370452
iter 21 value -2.371731
iter 22 value -2.371778
iter 23 value -2.372168
iter 24 value -2.372315
iter 25 value -2.372403
iter 26 value -2.372504
iter 27 value -2.372735
iter 28 value -2.373034
iter 29 value -2.373090
iter 30 value -2.373129
iter 31 value -2.373157
iter 32 value -2.373252
iter 33 value -2.373476
iter 34 value -2.373735
iter 35 value -2.374052
iter 36 value -2.374768
iter 37 value -2.374903
iter 38 value -2.375002
iter 39 value -2.375202
iter 40 value -2.375289
iter 41 value -2.375358
iter 42 value -2.375416
iter 43 value -2.375431
iter 44 value -2.375479
iter 45 value -2.375614
iter 46 value -2.376144
iter 47 value -2.376216
iter 48 value -2.376712
iter 49 value -2.376911
iter 50 value -2.377864
iter 51 value -2.379360
iter 52 value -2.381835
iter 53 value -2.383483
iter 54 value -2.384224
iter 55 value -2.385707
iter 56 value -2.386339
iter 57 value -2.390828
iter 58 value -2.395359
iter 59 value -2.398732
iter 60 value -2.404072
iter 61 value -2.404077
iter 62 value -2.407820
iter 63 value -2.410445
iter 64 value -2.417088
iter 65 value -2.422547
iter 66 value -2.426360
iter 67 value -2.428895
iter 68 value -2.430379
iter 69 value -2.436179
iter 70 value -2.437362
iter 71 value -2.440343
iter 72 value -2.442094
iter 73 value -2.448355
iter 74 value -2.453493
iter 75 value -2.454521
iter 76 value -2.455149
iter 76 value -2.455149
iter 77 value -2.455631
iter 77 value -2.455631
iter 78 value -2.455665
iter 79 value -2.455668
iter 79 value -2.455668
iter 80 value -2.455670
iter 80 value -2.455670
iter 80 value -2.455670
final value -2.455670
converged
initial value -2.365795
iter 2 value -2.369653
iter 3 value -2.375767
iter 4 value -2.377556
iter 5 value -2.378507
iter 6 value -2.379245
iter 7 value -2.381124
iter 8 value -2.381922
iter 9 value -2.383133
iter 10 value -2.383789
iter 11 value -2.384564
iter 12 value -2.385885
iter 13 value -2.386312
iter 14 value -2.386556
iter 15 value -2.386631
iter 16 value -2.386651
iter 17 value -2.386673
iter 18 value -2.386679
iter 19 value -2.386688
iter 20 value -2.386697
iter 21 value -2.386711
iter 22 value -2.386734
iter 23 value -2.386766
iter 24 value -2.386816
iter 25 value -2.386820
iter 26 value -2.386826
iter 27 value -2.386839
iter 28 value -2.386846
iter 29 value -2.386852
iter 30 value -2.386862
iter 31 value -2.386865
iter 32 value -2.386867
iter 33 value -2.386870
iter 34 value -2.386872
iter 35 value -2.386875
iter 36 value -2.386886
iter 37 value -2.386898
iter 38 value -2.386907
iter 39 value -2.386918
iter 40 value -2.386921
iter 41 value -2.386926
iter 42 value -2.386928
iter 43 value -2.386929
iter 44 value -2.386930
iter 45 value -2.386931
iter 46 value -2.386932
iter 47 value -2.386932
iter 47 value -2.386932
final value -2.386932
converged
initial value -2.201589
iter 2 value -2.306262
iter 3 value -2.330457
iter 4 value -2.340046
iter 5 value -2.340298
iter 6 value -2.340422
iter 7 value -2.340524
iter 8 value -2.340525
iter 9 value -2.340525
iter 9 value -2.340525
iter 9 value -2.340525
final value -2.340525
converged
initial value -2.350184
iter 2 value -2.350215
iter 3 value -2.350222
iter 4 value -2.350228
iter 5 value -2.350229
iter 5 value -2.350229
iter 5 value -2.350229
final value -2.350229
converged
initial value -2.201589
iter 2 value -2.307314
iter 3 value -2.339021
iter 4 value -2.341656
iter 5 value -2.342933
iter 6 value -2.343701
iter 7 value -2.343907
iter 8 value -2.345854
iter 9 value -2.348079
iter 10 value -2.351043
iter 11 value -2.352641
iter 12 value -2.353296
iter 13 value -2.353309
iter 14 value -2.353320
iter 15 value -2.353320
iter 15 value -2.353320
iter 15 value -2.353320
final value -2.353320
converged
initial value -2.359630
iter 2 value -2.359689
iter 3 value -2.359833
iter 4 value -2.359971
iter 5 value -2.359988
iter 6 value -2.359989
iter 7 value -2.359991
iter 8 value -2.359992
iter 9 value -2.359993
iter 9 value -2.359993
iter 9 value -2.359993
final value -2.359993
converged
initial value -2.201589
iter 2 value -2.336670
iter 3 value -2.353593
iter 4 value -2.355752
iter 5 value -2.358016
iter 6 value -2.359331
iter 7 value -2.360610
iter 8 value -2.362526
iter 9 value -2.363002
iter 10 value -2.363074
iter 11 value -2.363260
iter 12 value -2.363738
iter 13 value -2.364351
iter 14 value -2.364859
iter 15 value -2.364944
iter 16 value -2.365055
iter 17 value -2.365064
iter 18 value -2.365098
iter 19 value -2.365123
iter 20 value -2.365131
iter 21 value -2.365146
iter 22 value -2.365152
iter 23 value -2.365163
iter 24 value -2.365164
iter 25 value -2.365165
iter 26 value -2.365165
iter 27 value -2.365166
iter 28 value -2.365167
iter 29 value -2.365168
iter 29 value -2.365168
iter 29 value -2.365168
final value -2.365168
converged
initial value -2.372411
iter 2 value -2.372440
iter 3 value -2.372445
iter 4 value -2.372582
iter 5 value -2.372598
iter 6 value -2.372623
iter 7 value -2.372642
iter 8 value -2.372646
iter 9 value -2.372646
iter 10 value -2.372647
iter 11 value -2.372648
iter 12 value -2.372651
iter 13 value -2.372655
iter 14 value -2.372659
iter 15 value -2.372661
iter 16 value -2.372661
iter 16 value -2.372661
final value -2.372661
converged
initial value -2.201589
iter 2 value -2.351048
iter 3 value -2.358347
iter 4 value -2.359025
iter 5 value -2.360318
iter 6 value -2.360935
iter 7 value -2.361388
iter 8 value -2.361595
iter 9 value -2.361738
iter 10 value -2.361895
iter 11 value -2.361951
iter 12 value -2.362009
iter 13 value -2.362190
iter 14 value -2.362347
iter 15 value -2.362450
iter 16 value -2.362483
iter 17 value -2.362523
iter 18 value -2.362635
iter 19 value -2.362702
iter 20 value -2.362730
iter 21 value -2.362792
iter 22 value -2.362904
iter 23 value -2.363248
iter 24 value -2.364650
iter 25 value -2.364791
iter 26 value -2.365015
iter 27 value -2.366326
iter 28 value -2.367234
iter 29 value -2.368086
iter 30 value -2.368528
iter 31 value -2.368774
iter 32 value -2.369083
iter 33 value -2.369183
iter 34 value -2.369290
iter 35 value -2.369422
iter 36 value -2.369432
iter 37 value -2.369449
iter 38 value -2.369459
iter 39 value -2.369459
iter 40 value -2.369475
iter 41 value -2.369531
iter 42 value -2.369536
iter 43 value -2.369544
iter 44 value -2.369556
iter 45 value -2.369559
iter 46 value -2.369562
iter 47 value -2.369565
iter 48 value -2.369568
iter 49 value -2.369569
iter 50 value -2.369569
iter 50 value -2.369569
iter 50 value -2.369569
final value -2.369569
converged
initial value -2.373512
iter 2 value -2.373526
iter 3 value -2.373659
iter 4 value -2.373698
iter 5 value -2.373751
iter 6 value -2.373786
iter 7 value -2.373804
iter 8 value -2.373840
iter 9 value -2.373864
iter 10 value -2.373882
iter 11 value -2.373909
iter 12 value -2.373919
iter 13 value -2.373923
iter 14 value -2.373926
iter 15 value -2.373932
iter 16 value -2.373942
iter 17 value -2.373960
iter 18 value -2.374047
iter 19 value -2.374055
iter 20 value -2.374067
iter 21 value -2.374074
iter 22 value -2.374083
iter 23 value -2.374102
iter 24 value -2.374177
iter 25 value -2.376110
iter 26 value -2.376576
iter 27 value -2.376660
iter 28 value -2.377297
iter 29 value -2.377758
iter 30 value -2.377968
iter 31 value -2.378334
iter 32 value -2.380625
iter 33 value -2.383082
iter 34 value -2.383801
iter 35 value -2.387257
iter 36 value -2.387946
iter 37 value -2.388106
iter 38 value -2.388215
iter 39 value -2.388264
iter 40 value -2.388314
iter 41 value -2.388325
iter 42 value -2.388326
iter 42 value -2.388326
final value -2.388326
converged
initial value -2.201589
iter 2 value -2.300325
iter 3 value -2.324784
iter 4 value -2.353709
iter 5 value -2.357230
iter 6 value -2.360813
iter 7 value -2.361798
iter 8 value -2.361955
iter 9 value -2.362052
iter 10 value -2.362157
iter 11 value -2.362238
iter 12 value -2.362294
iter 13 value -2.362370
iter 14 value -2.362613
iter 15 value -2.362709
iter 16 value -2.362795
iter 17 value -2.362891
iter 18 value -2.363140
iter 19 value -2.364101
iter 20 value -2.364402
iter 21 value -2.364615
iter 22 value -2.364791
iter 23 value -2.364979
iter 24 value -2.365411
iter 25 value -2.366594
iter 26 value -2.367048
iter 27 value -2.367773
iter 28 value -2.368304
iter 29 value -2.368443
iter 30 value -2.368695
iter 31 value -2.368750
iter 32 value -2.368876
iter 33 value -2.369213
iter 34 value -2.369903
iter 35 value -2.370752
iter 36 value -2.371708
iter 37 value -2.373006
iter 38 value -2.373377
iter 39 value -2.376087
iter 40 value -2.379424
iter 41 value -2.381030
iter 42 value -2.383583
iter 43 value -2.385003
iter 44 value -2.389110
iter 45 value -2.392012
iter 46 value -2.392909
iter 47 value -2.393573
iter 48 value -2.395631
iter 49 value -2.398267
iter 50 value -2.399388
iter 51 value -2.402735
iter 52 value -2.404070
iter 53 value -2.406005
iter 54 value -2.407600
iter 55 value -2.409158
iter 56 value -2.410021
iter 57 value -2.410401
iter 58 value -2.412132
iter 59 value -2.414228
iter 60 value -2.416946
iter 61 value -2.419010
iter 62 value -2.421673
iter 63 value -2.421942
iter 64 value -2.422703
iter 65 value -2.425364
iter 66 value -2.427272
iter 67 value -2.429110
iter 68 value -2.430674
iter 69 value -2.432869
iter 70 value -2.436232
iter 71 value -2.438258
iter 72 value -2.441984
iter 73 value -2.444752
iter 74 value -2.447297
iter 75 value -2.447370
iter 76 value -2.450260
iter 77 value -2.450293
iter 78 value -2.455062
iter 79 value -2.456695
iter 80 value -2.457089
iter 81 value -2.458237
iter 82 value -2.461254
iter 83 value -2.462968
iter 84 value -2.464884
iter 85 value -2.464996
iter 86 value -2.465069
iter 87 value -2.465074
iter 87 value -2.465074
iter 88 value -2.466144
iter 89 value -2.466203
iter 90 value -2.467712
iter 90 value -2.467712
iter 91 value -2.471544
iter 92 value -2.471765
iter 93 value -2.472446
iter 94 value -2.472455
iter 95 value -2.474107
iter 96 value -2.474200
iter 97 value -2.474854
iter 98 value -2.474884
iter 99 value -2.475777
iter 100 value -2.475824
final value -2.475824
stopped after 100 iterations
initial value -2.213853
iter 2 value -2.306718
iter 3 value -2.331530
iter 4 value -2.361788
iter 5 value -2.364711
iter 6 value -2.366412
iter 7 value -2.367335
iter 8 value -2.367897
iter 9 value -2.368347
iter 10 value -2.368376
iter 11 value -2.368472
iter 12 value -2.368679
iter 13 value -2.368987
iter 14 value -2.369039
iter 15 value -2.369698
iter 16 value -2.370337
iter 17 value -2.370405
iter 18 value -2.370878
iter 19 value -2.371545
iter 20 value -2.371790
iter 21 value -2.372616
iter 22 value -2.372947
iter 23 value -2.373193
iter 24 value -2.373376
iter 25 value -2.373728
iter 26 value -2.376191
iter 27 value -2.377511
iter 28 value -2.379467
iter 29 value -2.381458
iter 30 value -2.382809
iter 31 value -2.383575
iter 32 value -2.383947
iter 33 value -2.384086
iter 34 value -2.384704
iter 35 value -2.384809
iter 36 value -2.384857
iter 37 value -2.384881
iter 38 value -2.384906
iter 39 value -2.384972
iter 40 value -2.385079
iter 41 value -2.385189
iter 42 value -2.385781
iter 43 value -2.386339
iter 44 value -2.386410
iter 45 value -2.386500
iter 46 value -2.386818
iter 47 value -2.387047
iter 48 value -2.387251
iter 49 value -2.387494
iter 50 value -2.387699
iter 51 value -2.388211
iter 52 value -2.388874
iter 53 value -2.389984
iter 54 value -2.391497
iter 55 value -2.391946
iter 56 value -2.392542
iter 57 value -2.393146
iter 58 value -2.394068
iter 59 value -2.395034
iter 60 value -2.395851
iter 61 value -2.396642
iter 62 value -2.397457
iter 63 value -2.397599
iter 64 value -2.397844
iter 65 value -2.397984
iter 66 value -2.398652
iter 67 value -2.398818
iter 68 value -2.399311
iter 69 value -2.399673
iter 70 value -2.399860
iter 71 value -2.400051
iter 72 value -2.400181
iter 73 value -2.400293
iter 74 value -2.400401
iter 75 value -2.400470
iter 76 value -2.400537
iter 77 value -2.400590
iter 78 value -2.400632
iter 79 value -2.400688
iter 80 value -2.400732
iter 81 value -2.400806
iter 82 value -2.400809
iter 83 value -2.400814
iter 84 value -2.400854
iter 85 value -2.401037
iter 86 value -2.401129
iter 87 value -2.401233
iter 88 value -2.401311
iter 89 value -2.401495
iter 90 value -2.401530
iter 91 value -2.401616
iter 92 value -2.401694
iter 93 value -2.401839
iter 94 value -2.401884
iter 95 value -2.401913
iter 96 value -2.401988
iter 97 value -2.402030
iter 98 value -2.402079
iter 99 value -2.402153
iter 100 value -2.402394
final value -2.402394
stopped after 100 iterations
initial value -2.201589
iter 2 value -2.295774
iter 3 value -2.318818
iter 4 value -2.330222
iter 5 value -2.354124
iter 6 value -2.358694
iter 7 value -2.360649
iter 8 value -2.361080
iter 9 value -2.361255
iter 10 value -2.361652
iter 11 value -2.364150
iter 12 value -2.365476
iter 13 value -2.366416
iter 14 value -2.367217
iter 15 value -2.368083
iter 16 value -2.368223
iter 17 value -2.368310
iter 18 value -2.368657
iter 19 value -2.368865
iter 20 value -2.369354
iter 21 value -2.370220
iter 22 value -2.371950
iter 23 value -2.372459
iter 24 value -2.372811
iter 25 value -2.373517
iter 26 value -2.373973
iter 27 value -2.374553
iter 28 value -2.376296
iter 29 value -2.377843
iter 30 value -2.378960
iter 31 value -2.380923
iter 32 value -2.381764
iter 33 value -2.383905
iter 34 value -2.384749
iter 35 value -2.389261
iter 36 value -2.394683
iter 37 value -2.400369
iter 38 value -2.402257
iter 39 value -2.403523
iter 40 value -2.407055
iter 41 value -2.411747
iter 42 value -2.416810
iter 43 value -2.423608
iter 44 value -2.426539
iter 45 value -2.427700
iter 46 value -2.433149
iter 47 value -2.435760
iter 48 value -2.442731
iter 49 value -2.447176
iter 50 value -2.454713
iter 51 value -2.456641
iter 52 value -2.457665
iter 53 value -2.466185
iter 54 value -2.469400
iter 55 value -2.474698
iter 56 value -2.478989
iter 57 value -2.482519
iter 58 value -2.482882
iter 58 value -2.482882
iter 59 value -2.486026
iter 60 value -2.486165
iter 61 value -2.488555
iter 62 value -2.491044
iter 63 value -2.491119
iter 64 value -2.491518
iter 65 value -2.491682
iter 66 value -2.491686
iter 67 value -2.492006
iter 68 value -2.492175
iter 69 value -2.492179
iter 70 value -2.492480
iter 71 value -2.492658
iter 72 value -2.492662
iter 73 value -2.492941
iter 74 value -2.493149
iter 75 value -2.493150
iter 76 value -2.493167
iter 77 value -2.493842
iter 78 value -2.493864
iter 79 value -2.494160
iter 80 value -2.494180
iter 81 value -2.494181
iter 82 value -2.494272
iter 83 value -2.494277
iter 84 value -2.494353
iter 85 value -2.494354
iter 86 value -2.494488
iter 87 value -2.494517
iter 88 value -2.494673
iter 89 value -2.494675
iter 90 value -2.494826
iter 91 value -2.495065
iter 92 value -2.495068
iter 93 value -2.495347
iter 94 value -2.495443
iter 95 value -2.495445
iter 96 value -2.495568
iter 97 value -2.495722
iter 98 value -2.495724
iter 99 value -2.495940
iter 100 value -2.496029
final value -2.496029
stopped after 100 iterations
initial value -2.213853
iter 2 value -2.301593
iter 3 value -2.323716
iter 4 value -2.330368
iter 5 value -2.340249
iter 6 value -2.355477
iter 7 value -2.363811
iter 8 value -2.364444
iter 9 value -2.367009
iter 10 value -2.367717
iter 11 value -2.368173
iter 12 value -2.368352
iter 13 value -2.369162
iter 14 value -2.369220
iter 15 value -2.372557
iter 16 value -2.375801
iter 17 value -2.377171
iter 18 value -2.378502
iter 19 value -2.379518
iter 20 value -2.379847
iter 21 value -2.380202
iter 22 value -2.380949
iter 23 value -2.380987
iter 24 value -2.381257
iter 25 value -2.381316
iter 26 value -2.382557
iter 27 value -2.382972
iter 28 value -2.383351
iter 29 value -2.383805
iter 30 value -2.384365
iter 31 value -2.384784
iter 32 value -2.385137
iter 33 value -2.385255
iter 34 value -2.385302
iter 35 value -2.385361
iter 36 value -2.385407
iter 37 value -2.385462
iter 38 value -2.385558
iter 39 value -2.385669
iter 40 value -2.385749
iter 41 value -2.385848
iter 42 value -2.385857
iter 43 value -2.385860
iter 44 value -2.385861
iter 45 value -2.385861
iter 46 value -2.385861
iter 46 value -2.385861
iter 46 value -2.385861
final value -2.385861
converged
initial value -2.201589
iter 2 value -2.295805
iter 3 value -2.319154
iter 4 value -2.333569
iter 5 value -2.356875
iter 6 value -2.359961
iter 7 value -2.361391
iter 8 value -2.361865
iter 9 value -2.362189
iter 10 value -2.363278
iter 11 value -2.367052
iter 12 value -2.370832
iter 13 value -2.377951
iter 14 value -2.381764
iter 15 value -2.384653
iter 16 value -2.386194
iter 17 value -2.389441
iter 18 value -2.391769
iter 19 value -2.397060
iter 20 value -2.397564
iter 21 value -2.403657
iter 22 value -2.407625
iter 23 value -2.410574
iter 24 value -2.421143
iter 25 value -2.422775
iter 26 value -2.424889
iter 27 value -2.427350
iter 28 value -2.431377
iter 29 value -2.448913
iter 30 value -2.450433
iter 31 value -2.452992
iter 32 value -2.458434
iter 33 value -2.465071
iter 34 value -2.469280
iter 35 value -2.472841
iter 36 value -2.473578
iter 37 value -2.476349
iter 38 value -2.482030
iter 39 value -2.490448
iter 40 value -2.493889
iter 41 value -2.500129
iter 42 value -2.501514
iter 43 value -2.504087
iter 44 value -2.506708
iter 45 value -2.507869
iter 46 value -2.509256
iter 47 value -2.510588
iter 48 value -2.511521
iter 49 value -2.511724
iter 50 value -2.511753
iter 51 value -2.517238
iter 52 value -2.517808
iter 53 value -2.518962
iter 54 value -2.520424
iter 55 value -2.520729
iter 56 value -2.521009
iter 57 value -2.521765
iter 58 value -2.523078
iter 59 value -2.523364
iter 60 value -2.523908
iter 61 value -2.524052
iter 62 value -2.524118
iter 63 value -2.524511
iter 64 value -2.524564
iter 65 value -2.525527
iter 66 value -2.525527
iter 67 value -2.526751
iter 68 value -2.526966
iter 69 value -2.527277
iter 70 value -2.528357
iter 71 value -2.530646
iter 72 value -2.531146
iter 73 value -2.531450
iter 74 value -2.531591
iter 75 value -2.531933
iter 76 value -2.531997
iter 77 value -2.532090
iter 78 value -2.532093
iter 79 value -2.532105
iter 80 value -2.532119
iter 81 value -2.532560
iter 82 value -2.532999
iter 83 value -2.533003
iter 84 value -2.533003
iter 85 value -2.533036
iter 86 value -2.533429
iter 87 value -2.534572
iter 88 value -2.534574
iter 89 value -2.534582
iter 90 value -2.534593
iter 91 value -2.534606
iter 92 value -2.534993
iter 93 value -2.534994
iter 94 value -2.535029
iter 95 value -2.535043
iter 96 value -2.535058
iter 97 value -2.535380
iter 98 value -2.535385
iter 99 value -2.535387
iter 100 value -2.535507
final value -2.535507
stopped after 100 iterations
initial value -2.213853
iter 2 value -2.301970
iter 3 value -2.324306
iter 4 value -2.334974
iter 5 value -2.349239
iter 6 value -2.360977
iter 7 value -2.365867
iter 8 value -2.367935
iter 9 value -2.368872
iter 10 value -2.369285
iter 11 value -2.369673
iter 12 value -2.371868
iter 13 value -2.374828
iter 14 value -2.379420
iter 15 value -2.381265
iter 16 value -2.385643
iter 17 value -2.391349
iter 18 value -2.396277
iter 19 value -2.397384
iter 20 value -2.397466
iter 21 value -2.399351
iter 22 value -2.399670
iter 23 value -2.401130
iter 24 value -2.402147
iter 25 value -2.403488
iter 26 value -2.403825
iter 27 value -2.403911
iter 28 value -2.404074
iter 29 value -2.404323
iter 30 value -2.404677
iter 31 value -2.404882
iter 32 value -2.405503
iter 33 value -2.405850
iter 34 value -2.406064
iter 35 value -2.406184
iter 36 value -2.406293
iter 37 value -2.406453
iter 38 value -2.406646
iter 39 value -2.406802
iter 40 value -2.406874
iter 41 value -2.407372
iter 42 value -2.407628
iter 43 value -2.407829
iter 44 value -2.407862
iter 45 value -2.407868
iter 46 value -2.407870
iter 47 value -2.407870
iter 47 value -2.407870
final value -2.407870
converged
initial value -2.201589
iter 2 value -2.297865
iter 3 value -2.321098
iter 4 value -2.342587
iter 5 value -2.354283
iter 6 value -2.360356
iter 7 value -2.362454
iter 8 value -2.362839
iter 9 value -2.363059
iter 10 value -2.363875
iter 11 value -2.366126
iter 12 value -2.368134
iter 13 value -2.369135
iter 14 value -2.374886
iter 15 value -2.381101
iter 16 value -2.384829
iter 17 value -2.386524
iter 18 value -2.388077
iter 19 value -2.392603
iter 20 value -2.395252
iter 21 value -2.396080
iter 22 value -2.398440
iter 23 value -2.402307
iter 24 value -2.413694
iter 25 value -2.422124
iter 26 value -2.428926
iter 27 value -2.430225
iter 28 value -2.432092
iter 29 value -2.434415
iter 30 value -2.440876
iter 31 value -2.444742
iter 32 value -2.446579
iter 33 value -2.455991
iter 34 value -2.458154
iter 35 value -2.465577
iter 36 value -2.468457
iter 37 value -2.472203
iter 38 value -2.472834
iter 39 value -2.480854
iter 40 value -2.481958
iter 40 value -2.481958
iter 41 value -2.487759
iter 42 value -2.487871
iter 43 value -2.489345
iter 44 value -2.489365
iter 45 value -2.490045
iter 46 value -2.491200
iter 46 value -2.491200
iter 47 value -2.493826
iter 48 value -2.494277
iter 49 value -2.494493
iter 50 value -2.494500
iter 51 value -2.494536
iter 52 value -2.494541
iter 53 value -2.494541
iter 54 value -2.494569
iter 55 value -2.494611
iter 56 value -2.494625
iter 57 value -2.494670
iter 58 value -2.494715
iter 59 value -2.494736
iter 60 value -2.494758
iter 61 value -2.494798
iter 62 value -2.494809
iter 63 value -2.494823
iter 64 value -2.494860
iter 65 value -2.494867
iter 66 value -2.494881
iter 67 value -2.494917
iter 68 value -2.494925
iter 69 value -2.494940
iter 70 value -2.494976
iter 71 value -2.494986
iter 72 value -2.495005
iter 73 value -2.495042
iter 74 value -2.495047
iter 75 value -2.495101
iter 76 value -2.495148
iter 77 value -2.495177
iter 78 value -2.495213
iter 78 value -2.495213
iter 79 value -2.495299
iter 80 value -2.495332
iter 81 value -2.495461
iter 82 value -2.495542
iter 83 value -2.495637
iter 84 value -2.495693
iter 85 value -2.495797
iter 86 value -2.495871
iter 87 value -2.495960
iter 88 value -2.496025
iter 89 value -2.496113
iter 90 value -2.496186
iter 91 value -2.496266
iter 92 value -2.496335
iter 93 value -2.496412
iter 94 value -2.496486
iter 95 value -2.496556
iter 96 value -2.496629
iter 97 value -2.496695
iter 98 value -2.496770
iter 99 value -2.496832
iter 100 value -2.496906
final value -2.496906
stopped after 100 iterations
initial value -2.213853
iter 2 value -2.304045
iter 3 value -2.326049
iter 4 value -2.344123
iter 5 value -2.354738
iter 6 value -2.366235
iter 7 value -2.367790
iter 8 value -2.369276
iter 9 value -2.369686
iter 10 value -2.370099
iter 11 value -2.370482
iter 12 value -2.372843
iter 13 value -2.376396
iter 14 value -2.377385
iter 15 value -2.378485
iter 16 value -2.380879
iter 17 value -2.383534
iter 18 value -2.386513
iter 19 value -2.387203
iter 20 value -2.391164
iter 21 value -2.391579
iter 22 value -2.393076
iter 23 value -2.395467
iter 24 value -2.395653
iter 25 value -2.397000
iter 26 value -2.397930
iter 27 value -2.398057
iter 28 value -2.398562
iter 29 value -2.399778
iter 30 value -2.399791
iter 31 value -2.399942
iter 32 value -2.400864
iter 33 value -2.401343
iter 34 value -2.403685
iter 35 value -2.404471
iter 36 value -2.405321
iter 37 value -2.406193
iter 38 value -2.406283
iter 39 value -2.406350
iter 40 value -2.406428
iter 41 value -2.406445
iter 42 value -2.406468
iter 43 value -2.406499
iter 44 value -2.406535
iter 45 value -2.406627
iter 46 value -2.406702
iter 47 value -2.406812
iter 48 value -2.407095
iter 49 value -2.407110
iter 50 value -2.407303
iter 51 value -2.407352
iter 52 value -2.407354
iter 53 value -2.407357
iter 54 value -2.407363
iter 55 value -2.407390
iter 56 value -2.407399
iter 57 value -2.407481
iter 58 value -2.407543
iter 59 value -2.407590
iter 60 value -2.407663
iter 61 value -2.407697
iter 62 value -2.407731
iter 63 value -2.407755
iter 64 value -2.407784
iter 65 value -2.407830
iter 66 value -2.407897
iter 67 value -2.407919
iter 68 value -2.407977
iter 69 value -2.407992
iter 70 value -2.407998
iter 71 value -2.407999
iter 72 value -2.407999
iter 73 value -2.407999
iter 74 value -2.407999
iter 75 value -2.408000
iter 75 value -2.408000
iter 75 value -2.408000
final value -2.408000
converged
initial value -2.197587
iter 2 value -2.302454
iter 3 value -2.338428
iter 4 value -2.355919
iter 5 value -2.356806
iter 6 value -2.357706
iter 7 value -2.358177
iter 8 value -2.358216
iter 9 value -2.358216
iter 9 value -2.358216
iter 9 value -2.358216
final value -2.358216
converged
initial value -2.369568
iter 2 value -2.369639
iter 3 value -2.369649
iter 4 value -2.369685
iter 5 value -2.369688
iter 6 value -2.369688
iter 6 value -2.369688
iter 6 value -2.369688
final value -2.369688
converged
initial value -2.197587
iter 2 value -2.309411
iter 3 value -2.354263
iter 4 value -2.356137
iter 5 value -2.360460
iter 6 value -2.362968
iter 7 value -2.363379
iter 8 value -2.363407
iter 9 value -2.363449
iter 10 value -2.363629
iter 11 value -2.363768
iter 12 value -2.363829
iter 13 value -2.363835
iter 14 value -2.363835
iter 14 value -2.363835
iter 14 value -2.363835
final value -2.363835
converged
initial value -2.374296
iter 2 value -2.374380
iter 3 value -2.374434
iter 4 value -2.374473
iter 5 value -2.374480
iter 6 value -2.374481
iter 7 value -2.374490
iter 8 value -2.374493
iter 9 value -2.374494
iter 9 value -2.374494
iter 9 value -2.374494
final value -2.374494
converged
initial value -2.197587
iter 2 value -2.338157
iter 3 value -2.357278
iter 4 value -2.359925
iter 5 value -2.362472
iter 6 value -2.362689
iter 7 value -2.362982
iter 8 value -2.362993
iter 9 value -2.363039
iter 10 value -2.363141
iter 11 value -2.363268
iter 12 value -2.363361
iter 13 value -2.363400
iter 14 value -2.363436
iter 15 value -2.363508
iter 16 value -2.363641
iter 17 value -2.363779
iter 18 value -2.363857
iter 19 value -2.363862
iter 20 value -2.363864
iter 21 value -2.363870
iter 22 value -2.363871
iter 23 value -2.363871
iter 24 value -2.363871
iter 25 value -2.363871
iter 26 value -2.363871
iter 26 value -2.363871
iter 26 value -2.363871
final value -2.363871
converged
initial value -2.374427
iter 2 value -2.374529
iter 3 value -2.374577
iter 4 value -2.374613
iter 5 value -2.374619
iter 6 value -2.374628
iter 7 value -2.374648
iter 8 value -2.374655
iter 9 value -2.374656
iter 10 value -2.374656
iter 11 value -2.374657
iter 12 value -2.374660
iter 13 value -2.374662
iter 14 value -2.374664
iter 15 value -2.374664
iter 15 value -2.374664
iter 15 value -2.374664
final value -2.374664
converged
initial value -2.197587
iter 2 value -2.347513
iter 3 value -2.359831
iter 4 value -2.360586
iter 5 value -2.361581
iter 6 value -2.362065
iter 7 value -2.362196
iter 8 value -2.362437
iter 9 value -2.362859
iter 10 value -2.363110
iter 11 value -2.363185
iter 12 value -2.363208
iter 13 value -2.363239
iter 14 value -2.363323
iter 15 value -2.363542
iter 16 value -2.363703
iter 17 value -2.363847
iter 18 value -2.363870
iter 19 value -2.363870
iter 19 value -2.363870
iter 19 value -2.363870
final value -2.363870
converged
initial value -2.374441
iter 2 value -2.374544
iter 3 value -2.374592
iter 4 value -2.374630
iter 5 value -2.374638
iter 6 value -2.374650
iter 7 value -2.374662
iter 8 value -2.374668
iter 9 value -2.374673
iter 10 value -2.374684
iter 11 value -2.374708
iter 12 value -2.374817
iter 13 value -2.374872
iter 14 value -2.374958
iter 15 value -2.375094
iter 16 value -2.375232
iter 17 value -2.375514
iter 18 value -2.375936
iter 19 value -2.376464
iter 20 value -2.377256
iter 21 value -2.378202
iter 22 value -2.378793
iter 23 value -2.379069
iter 24 value -2.380137
iter 25 value -2.381259
iter 26 value -2.382514
iter 27 value -2.383434
iter 28 value -2.383803
iter 29 value -2.385385
iter 30 value -2.387080
iter 31 value -2.390886
iter 32 value -2.391612
iter 33 value -2.392840
iter 34 value -2.393573
iter 35 value -2.393779
iter 36 value -2.394193
iter 37 value -2.394268
iter 38 value -2.394339
iter 39 value -2.394471
iter 40 value -2.394484
iter 41 value -2.394506
iter 42 value -2.394525
iter 43 value -2.394564
iter 44 value -2.394573
iter 45 value -2.394761
iter 46 value -2.394781
iter 47 value -2.394902
iter 48 value -2.394968
iter 49 value -2.395134
iter 50 value -2.395351
iter 51 value -2.395515
iter 52 value -2.395676
iter 53 value -2.396003
iter 54 value -2.396318
iter 55 value -2.397235
iter 56 value -2.397348
iter 57 value -2.397605
iter 58 value -2.397617
iter 59 value -2.397618
iter 60 value -2.397619
iter 61 value -2.397628
iter 62 value -2.397629
iter 63 value -2.397630
iter 64 value -2.397631
iter 65 value -2.397631
iter 66 value -2.397632
iter 67 value -2.397632
iter 68 value -2.397632
iter 68 value -2.397632
iter 68 value -2.397632
final value -2.397632
converged
initial value -2.197587
iter 2 value -2.302879
iter 3 value -2.324965
iter 4 value -2.348279
iter 5 value -2.348795
iter 6 value -2.357194
iter 7 value -2.361086
iter 8 value -2.361731
iter 9 value -2.361880
iter 10 value -2.362011
iter 11 value -2.363296
iter 12 value -2.363751
iter 13 value -2.363908
iter 14 value -2.363946
iter 15 value -2.363949
iter 16 value -2.363951
iter 17 value -2.363957
iter 18 value -2.363964
iter 19 value -2.363976
iter 20 value -2.364006
iter 21 value -2.364061
iter 22 value -2.364131
iter 23 value -2.364193
iter 24 value -2.364226
iter 25 value -2.364336
iter 26 value -2.364351
iter 27 value -2.364356
iter 28 value -2.364363
iter 29 value -2.364408
iter 30 value -2.364473
iter 31 value -2.364515
iter 32 value -2.364545
iter 33 value -2.364548
iter 34 value -2.364552
iter 35 value -2.364645
iter 36 value -2.364793
iter 37 value -2.364920
iter 38 value -2.364937
iter 39 value -2.364955
iter 40 value -2.364982
iter 41 value -2.365012
iter 42 value -2.365120
iter 43 value -2.365778
iter 44 value -2.366082
iter 45 value -2.366143
iter 46 value -2.366288
iter 47 value -2.366646
iter 48 value -2.367185
iter 49 value -2.368101
iter 50 value -2.369177
iter 51 value -2.370330
iter 52 value -2.371890
iter 53 value -2.374308
iter 54 value -2.379151
iter 55 value -2.380379
iter 56 value -2.381915
iter 57 value -2.382667
iter 58 value -2.383884
iter 59 value -2.384909
iter 60 value -2.387374
iter 61 value -2.390230
iter 62 value -2.392300
iter 63 value -2.394034
iter 64 value -2.398372
iter 65 value -2.406659
iter 66 value -2.411356
iter 67 value -2.411760
iter 68 value -2.412086
iter 69 value -2.412343
iter 70 value -2.413143
iter 71 value -2.413559
iter 72 value -2.414062
iter 73 value -2.414225
iter 74 value -2.414647
iter 75 value -2.415294
iter 76 value -2.416012
iter 77 value -2.416557
iter 78 value -2.416659
iter 79 value -2.416681
iter 80 value -2.416698
iter 81 value -2.416712
iter 82 value -2.416731
iter 83 value -2.416741
iter 84 value -2.416747
iter 85 value -2.416748
iter 86 value -2.416748
iter 87 value -2.416749
iter 88 value -2.416749
iter 89 value -2.416749
iter 89 value -2.416749
iter 89 value -2.416749
final value -2.416749
converged
Error in stats::arima(xdata, order = c(p, d, q), seasonal = list(order = c(P, :
non-stationary AR part from CSS
p_best=which.min( apply(aic,1,min) ) -1
q_best=which.min( apply(aic,2,min) ) -1
p_best
[1] 4
q_best
[1] 4
b = auto.arima(gtemp)
fit=sarima(gtemp,p_best,1,q_best)
initial value -2.201589
iter 2 value -2.300325
iter 3 value -2.324784
iter 4 value -2.353709
iter 5 value -2.357230
iter 6 value -2.360813
iter 7 value -2.361798
iter 8 value -2.361955
iter 9 value -2.362052
iter 10 value -2.362157
iter 11 value -2.362238
iter 12 value -2.362294
iter 13 value -2.362370
iter 14 value -2.362613
iter 15 value -2.362709
iter 16 value -2.362795
iter 17 value -2.362891
iter 18 value -2.363140
iter 19 value -2.364101
iter 20 value -2.364402
iter 21 value -2.364615
iter 22 value -2.364791
iter 23 value -2.364979
iter 24 value -2.365411
iter 25 value -2.366594
iter 26 value -2.367048
iter 27 value -2.367773
iter 28 value -2.368304
iter 29 value -2.368443
iter 30 value -2.368695
iter 31 value -2.368750
iter 32 value -2.368876
iter 33 value -2.369213
iter 34 value -2.369903
iter 35 value -2.370752
iter 36 value -2.371708
iter 37 value -2.373006
iter 38 value -2.373377
iter 39 value -2.376087
iter 40 value -2.379424
iter 41 value -2.381030
iter 42 value -2.383583
iter 43 value -2.385003
iter 44 value -2.389110
iter 45 value -2.392012
iter 46 value -2.392909
iter 47 value -2.393573
iter 48 value -2.395631
iter 49 value -2.398267
iter 50 value -2.399388
iter 51 value -2.402735
iter 52 value -2.404070
iter 53 value -2.406005
iter 54 value -2.407600
iter 55 value -2.409158
iter 56 value -2.410021
iter 57 value -2.410401
iter 58 value -2.412132
iter 59 value -2.414228
iter 60 value -2.416946
iter 61 value -2.419010
iter 62 value -2.421673
iter 63 value -2.421942
iter 64 value -2.422703
iter 65 value -2.425364
iter 66 value -2.427272
iter 67 value -2.429110
iter 68 value -2.430674
iter 69 value -2.432869
iter 70 value -2.436232
iter 71 value -2.438258
iter 72 value -2.441984
iter 73 value -2.444752
iter 74 value -2.447297
iter 75 value -2.447370
iter 76 value -2.450260
iter 77 value -2.450293
iter 78 value -2.455062
iter 79 value -2.456695
iter 80 value -2.457089
iter 81 value -2.458237
iter 82 value -2.461254
iter 83 value -2.462968
iter 84 value -2.464884
iter 85 value -2.464996
iter 86 value -2.465069
iter 87 value -2.465074
iter 87 value -2.465074
iter 88 value -2.466144
iter 89 value -2.466203
iter 90 value -2.467712
iter 90 value -2.467712
iter 91 value -2.471544
iter 92 value -2.471765
iter 93 value -2.472446
iter 94 value -2.472455
iter 95 value -2.474107
iter 96 value -2.474200
iter 97 value -2.474854
iter 98 value -2.474884
iter 99 value -2.475777
iter 100 value -2.475824
final value -2.475824
stopped after 100 iterations
initial value -2.213853
iter 2 value -2.306718
iter 3 value -2.331530
iter 4 value -2.361788
iter 5 value -2.364711
iter 6 value -2.366412
iter 7 value -2.367335
iter 8 value -2.367897
iter 9 value -2.368347
iter 10 value -2.368376
iter 11 value -2.368472
iter 12 value -2.368679
iter 13 value -2.368987
iter 14 value -2.369039
iter 15 value -2.369698
iter 16 value -2.370337
iter 17 value -2.370405
iter 18 value -2.370878
iter 19 value -2.371545
iter 20 value -2.371790
iter 21 value -2.372616
iter 22 value -2.372947
iter 23 value -2.373193
iter 24 value -2.373376
iter 25 value -2.373728
iter 26 value -2.376191
iter 27 value -2.377511
iter 28 value -2.379467
iter 29 value -2.381458
iter 30 value -2.382809
iter 31 value -2.383575
iter 32 value -2.383947
iter 33 value -2.384086
iter 34 value -2.384704
iter 35 value -2.384809
iter 36 value -2.384857
iter 37 value -2.384881
iter 38 value -2.384906
iter 39 value -2.384972
iter 40 value -2.385079
iter 41 value -2.385189
iter 42 value -2.385781
iter 43 value -2.386339
iter 44 value -2.386410
iter 45 value -2.386500
iter 46 value -2.386818
iter 47 value -2.387047
iter 48 value -2.387251
iter 49 value -2.387494
iter 50 value -2.387699
iter 51 value -2.388211
iter 52 value -2.388874
iter 53 value -2.389984
iter 54 value -2.391497
iter 55 value -2.391946
iter 56 value -2.392542
iter 57 value -2.393146
iter 58 value -2.394068
iter 59 value -2.395034
iter 60 value -2.395851
iter 61 value -2.396642
iter 62 value -2.397457
iter 63 value -2.397599
iter 64 value -2.397844
iter 65 value -2.397984
iter 66 value -2.398652
iter 67 value -2.398818
iter 68 value -2.399311
iter 69 value -2.399673
iter 70 value -2.399860
iter 71 value -2.400051
iter 72 value -2.400181
iter 73 value -2.400293
iter 74 value -2.400401
iter 75 value -2.400470
iter 76 value -2.400537
iter 77 value -2.400590
iter 78 value -2.400632
iter 79 value -2.400688
iter 80 value -2.400732
iter 81 value -2.400806
iter 82 value -2.400809
iter 83 value -2.400814
iter 84 value -2.400854
iter 85 value -2.401037
iter 86 value -2.401129
iter 87 value -2.401233
iter 88 value -2.401311
iter 89 value -2.401495
iter 90 value -2.401530
iter 91 value -2.401616
iter 92 value -2.401694
iter 93 value -2.401839
iter 94 value -2.401884
iter 95 value -2.401913
iter 96 value -2.401988
iter 97 value -2.402030
iter 98 value -2.402079
iter 99 value -2.402153
iter 100 value -2.402394
final value -2.402394
stopped after 100 iterations
possible convergence problem: optim gave code = 1
fore = sarima.for(gtemp, n.ahead=10, p_best, 1, q_best)
possible convergence problem: optim gave code = 1
plot( window(gtemp, start=1980, end=2009), type='o', pch=16,
lwd=2, xlim=c(1980,2020), ylim=c(0,.9), ylab='gtemp')
lines(2010:2019,fore$pred, type='o', pch=16, col=2)
lines(2010:2019,fore$pred + 1.96*fore$se, lty=2, lwd=2, col=3)
lines(2010:2019,fore$pred - 1.96*fore$se, lty=2, lwd=2, col=3)
plot(unemp);acf(unemp);pacf(unemp);plot(diff(unemp));
acf(diff(unemp));pacf(diff(unemp));
fit=auto.arima(unemp,d=1)
fit
Series: unemp
ARIMA(2,1,0)(2,1,1)[12]
Coefficients:
ar1 ar2 sar1 sar2 sma1
0.1448 0.2317 -0.1792 -0.1140 -0.5569
s.e. 0.0519 0.0527 0.1104 0.0873 0.1016
sigma^2 estimated as 452.4: log likelihood=-1608.57
AIC=3229.14 AICc=3229.38 BIC=3252.44
fore=forecast(fit,12)
plot( window(unemp, start=c(1975,1), end=c(1978,12)), type='o', pch=16,
lwd=2, xlim=c(1975,1980), ylim=c(300,900), ylab='unemp')
lines(fore$mean, type='o', pch=16, col=2, lwd=2)
lines(ts(fore$lower[,2],start=c(1979,1),freq=12), lty=2, lwd=2, col=3)
lines(ts(fore$upper[,2],start=c(1979,1),freq=12), lty=2, lwd=2, col=3)
arma.fit=auto.arima(log(jj))
arma.fit
Series: log(jj)
ARIMA(2,0,0)(1,1,0)[4] with drift
Coefficients:
ar1 ar2 sar1 drift
0.2686 0.2855 -0.2695 0.0382
s.e. 0.1137 0.1214 0.1212 0.0042
sigma^2 estimated as 0.007793: log likelihood=82.47
AIC=-154.95 AICc=-154.14 BIC=-143.04
Dljj=diff(log(jj), lag=4)
plot(Dljj); acf(Dljj); pacf(Dljj)
sarima( log(jj), 2,0,0,0,1,0,4)
initial value -2.421271
iter 2 value -2.471452
iter 3 value -2.481685
iter 4 value -2.481768
iter 5 value -2.481772
iter 6 value -2.481773
iter 6 value -2.481773
iter 6 value -2.481773
final value -2.481773
converged
initial value -2.418235
iter 2 value -2.420437
iter 3 value -2.420994
iter 4 value -2.421016
iter 5 value -2.421016
iter 6 value -2.421016
iter 6 value -2.421016
iter 6 value -2.421016
final value -2.421016
converged
$fit
Call:
stats::arima(x = xdata, order = c(p, d, q), seasonal = list(order = c(P, D,
Q), period = S), xreg = constant, transform.pars = trans, fixed = fixed,
optim.control = list(trace = trc, REPORT = 1, reltol = tol))
Coefficients:
ar1 ar2 constant
0.2609 0.1887 0.0381
s.e. 0.1165 0.1171 0.0045
sigma^2 estimated as 0.007873: log likelihood = 80.17, aic = -152.33
$degrees_of_freedom
[1] 77
$ttable
Estimate SE t.value p.value
ar1 0.2609 0.1165 2.2398 0.0280
ar2 0.1887 0.1171 1.6116 0.1111
constant 0.0381 0.0045 8.5138 0.0000
$AIC
[1] -1.835331
$AICc
[1] -1.831671
$BIC
[1] -1.720534
fore = sarima.for( log(jj), n.ahead=4, 2,0,0,1,1,0,4)
plot( window(jj, start=c(1975,1), end=c(1980,4)), type='o', pch=16,
lwd=2, xlim=c(1974,1982), ylim=c(5, 23), ylab='jj')
lines(1981+c(0:3)/4,exp(fore$pred), type='o', pch=16, col=2)
lines(1981+c(0:3)/4,exp(fore$pred + 1.96*fore$se), lty=2, lwd=2, col=3)
lines(1981+c(0:3)/4,exp(fore$pred - 1.96*fore$se), lty=2, lwd=2, col=3)
plot( window(jj, start=c(1975,1), end=c(1980,4)), type='o', pch=16,
lwd=2, xlim=c(1974,1982), ylim=c(5, 23), ylab='jj')
lines(1981+c(0:3)/4,exp(fore$pred), type='o', pch=16, col=2)
lines(1981+c(0:3)/4,exp(fore$pred + 1.96*fore$se), lty=2, lwd=2, col=3)
lines(1981+c(0:3)/4,exp(fore$pred - 1.96*fore$se), lty=2, lwd=2, col=3)
X=cbind(rec,soi)
plot(X, main="")
acf(X,lag=100)
library(vars)
VARselect(X,lag.max=20) #best AIC @ lag p=15
out=VAR(X,15)
summary(out)
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